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Finding the Fourth Proportional to 70,297.28, 105,425.78 and 22,916.51

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Solution

The fourth proportional to 70,297.28, 105,425.78 and 22,916.51 is: 34,368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,297.28 : 105,425.78 = 22,916.51 : x
  2. Step 2: Convert to fraction form
    70,297.28/105,425.78 = 22,916.51/x
  3. Step 3: Cross multiply
    70,297.28x = 105,425.78 × 22,916.51
  4. Step 4: Simplify right side
    70,297.28x = 2,415,990,827.05
  5. Step 5: Solve for x
    x = 2,415,990,827.05/70,297.28
  6. Step 6: Final answer
    x = 34,368.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.